What is the domain of f(x)=log_{2}(4x-1) ?

The domain of f(x)=log_{2}(4x-1) is x> 1/4

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domain of f(x)=log_{2}(4x-1)

domain

f (x) = lo g_{2} (4 x - 1)

x > \frac{1}{4}

Interval Notation

(\frac{1}{4}, \infty)

Solution steps

Find positive values for logs:

x > \frac{1}{4}

The function domain

x > \frac{1}{4}

f (x) = \frac{16}{x ^{2}} - 1 + 25

f (x) = - 3 x ln (x)

f (x) = \frac{3 x ^{2}}{x ^{2} - 2 x - 35}

\frac{3 x - 3}{x ( x - 1 )}

ln (\frac{x + 4}{4 x - 16})

What is the domain of f(x)=log_{2}(4x-1) ?
The domain of f(x)=log_{2}(4x-1) is x> 1/4